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Mathematical function of straight line
Hello, classmate.

When the linear function moves the straight line y=2x+3 up by one unit, the analytical expression of the straight line is y=2x+4, which is equivalent to moving the original straight line to the left by 1/2 unit lengths.

Here is the solution.

There are several problems in the function problem:

Add and subtract. Left plus right minus.

And is used for translation up and down. The object of addition and subtraction is B.

Used for left-right translation. The object of addition and subtraction is X.

Therefore ... when the straight line y=2x+3 moves up by one unit, the analytical formula of the straight line is

Y=2X+3+ 1。 y=2X+4

This straight line is equivalent to translating the original straight line to the left.

Then you have to think. How to convert Y=2x+3 into x? y=2X+4

Suppose. Translate one unit length to the left.

Then you get 2(x+a)+3=2x+4.

Solve. a= 1/2

So ... yeah. Translate the original line to the left. 1/2 unit length

I hope to adopt.